A mathematical model that integrates cardiac electrophysiology, mechanics, and fluid dynamics: Application to the human left heart
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- Michele Bucelli
- MOX, Dipartimento di Matematica Politecnico di Milano Milan Italy
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- Alberto Zingaro
- MOX, Dipartimento di Matematica Politecnico di Milano Milan Italy
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- Pasquale Claudio Africa
- MOX, Dipartimento di Matematica Politecnico di Milano Milan Italy
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- Ivan Fumagalli
- MOX, Dipartimento di Matematica Politecnico di Milano Milan Italy
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- Luca Dede'
- MOX, Dipartimento di Matematica Politecnico di Milano Milan Italy
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- Alfio Quarteroni
- MOX, Dipartimento di Matematica Politecnico di Milano Milan Italy
抄録
<jats:title>Abstract</jats:title><jats:p>We propose a mathematical and numerical model for the simulation of the heart function that couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and includes reduced models for cardiac valves and the circulatory system. Our model accounts for the major feedback effects among the different processes that characterize the heart function, including electro‐mechanical and mechano‐electrical feedback as well as force‐strain and force‐velocity relationships. Moreover, it provides a three‐dimensional representation of both the cardiac muscle and the hemodynamics, coupled in a fluid–structure interaction (FSI) model. By leveraging the multiphysics nature of the problem, we discretize it in time with a segregated electrophysiology‐force generation‐FSI approach, allowing for efficiency and flexibility in the numerical solution. We employ a monolithic approach for the numerical discretization of the FSI problem. We use finite elements for the spatial discretization of partial differential equations. We carry out a numerical simulation on a realistic human left heart model, obtaining results that are qualitatively and quantitatively in agreement with physiological ranges and medical images.</jats:p>
収録刊行物
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- International Journal for Numerical Methods in Biomedical Engineering
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International Journal for Numerical Methods in Biomedical Engineering 39 (3), 2023-01-20
Wiley
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詳細情報 詳細情報について
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- CRID
- 1360861295469448064
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- DOI
- 10.1002/cnm.3678
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- ISSN
- 20407947
- 20407939
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- データソース種別
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- Crossref